Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 44, 2019, 221-229
University of Lódz,
Department of Mathematics and Computer Science
ul. Banacha 22, 90-238 Lódz, Poland;
mciska 'at' math.uni.lodz.pl
University of Lódz,
Department of Mathematics and Computer Science
ul. Banacha 22, 90-238 Lódz, Poland;
kamiln 'at' math.uni.lodz.pl
Abstract. We extend the Rodin's formula for p-modulus of the family of curves in Rn to arbitrary codimension. The proof relies on the formula for the p-modulus of family of level sets of a submersion and an algebraic lemma relating Jacobi matrices of considered maps. We state appropriate examples.
2010 Mathematics Subject Classification: Primary 26B15, 28A75, 26B10.
Key words: p-modulus of family of surfaces, extremal function, Rodin's formula.
Reference to this article: M. Ciska-Niedzialomska and K. Niedzialomski: Rodin's formula in arbitrary codimension. Ann. Acad. Sci. Fenn. Math. 44 (2019), 221-229.
https://doi.org/10.5186/aasfm.2019.4407
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